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A "differential" derivation of the recurrence relations for the classical orthogonal polynomials. / Slavyanov, S. Yu.

In: Journal of Computational and Applied Mathematics, Vol. 49, No. 1-3, 31.12.1993, p. 251-254.

Research output: Contribution to journal › Article › peer-review

Harvard

Slavyanov, SY 1993, 'A "differential" derivation of the recurrence relations for the classical orthogonal polynomials', Journal of Computational and Applied Mathematics, vol. 49, no. 1-3, pp. 251-254. https://doi.org/10.1016/0377-0427(93)90157-7

APA

Slavyanov, S. Y. (1993). A "differential" derivation of the recurrence relations for the classical orthogonal polynomials. Journal of Computational and Applied Mathematics, 49(1-3), 251-254. https://doi.org/10.1016/0377-0427(93)90157-7

Vancouver

Slavyanov SY. A "differential" derivation of the recurrence relations for the classical orthogonal polynomials. Journal of Computational and Applied Mathematics. 1993 Dec 31;49(1-3):251-254. https://doi.org/10.1016/0377-0427(93)90157-7

Author

Slavyanov, S. Yu. / A "differential" derivation of the recurrence relations for the classical orthogonal polynomials. In: Journal of Computational and Applied Mathematics. 1993 ; Vol. 49, No. 1-3. pp. 251-254.

BibTeX

@article{48d9c0f7e7be44d1bf758223ff95af04,
title = "A {"}differential{"} derivation of the recurrence relations for the classical orthogonal polynomials",
abstract = "The recurrence relations for classical orthogonal polynomials are derived in a new way by using two fruitful tools. One tool is a specially chosen commutator algebra for certain simple operators. The other tool is a confluence process. No other formula except a differential equation for polynomials is used. Jacobi polynomials and Laguerre polynomials are taken as examples.",
keywords = "operator algebra, Orthogonal polynomials, recurrence relations",
author = "Slavyanov, {S. Yu}",
year = "1993",
month = dec,
day = "31",
doi = "10.1016/0377-0427(93)90157-7",
language = "English",
volume = "49",
pages = "251--254",
journal = "Journal of Computational and Applied Mathematics",
issn = "0377-0427",
publisher = "Elsevier",
number = "1-3",

}

RIS

TY - JOUR

T1 - A "differential" derivation of the recurrence relations for the classical orthogonal polynomials

AU - Slavyanov, S. Yu

PY - 1993/12/31

Y1 - 1993/12/31

N2 - The recurrence relations for classical orthogonal polynomials are derived in a new way by using two fruitful tools. One tool is a specially chosen commutator algebra for certain simple operators. The other tool is a confluence process. No other formula except a differential equation for polynomials is used. Jacobi polynomials and Laguerre polynomials are taken as examples.

AB - The recurrence relations for classical orthogonal polynomials are derived in a new way by using two fruitful tools. One tool is a specially chosen commutator algebra for certain simple operators. The other tool is a confluence process. No other formula except a differential equation for polynomials is used. Jacobi polynomials and Laguerre polynomials are taken as examples.

KW - operator algebra

KW - Orthogonal polynomials

KW - recurrence relations

UR - http://www.scopus.com/inward/record.url?scp=43949165601&partnerID=8YFLogxK

U2 - 10.1016/0377-0427(93)90157-7

DO - 10.1016/0377-0427(93)90157-7

M3 - Article

AN - SCOPUS:43949165601

VL - 49

SP - 251

EP - 254

JO - Journal of Computational and Applied Mathematics

JF - Journal of Computational and Applied Mathematics

SN - 0377-0427

IS - 1-3

ER -

ID: 41278997